论文标题
识别具有多频稀疏数据的对象的点
Identification of point like objects with multi-frequency sparse data
论文作者
论文摘要
研究了使用多频稀疏测量值的点对象的反声散射。对象可能是点源或点像散射器的总和。我们表明，点对象的位置和散射强度可以通过在稀疏传感器处采取的近距离或远处的多种频率来唯一识别。基于唯一性分析，还提出了一些直接方法来重建位置并确定散射强度。进行数值示例以显示所提出的数值方法的有效性和鲁棒性。
The inverse acoustic scattering of point objects using multi-frequency sparse measurements are studied. The objects may be a sum of point sources or point like scatterers. We show that the locations and scattering strengths of the point objects can be uniquely identified by the multi-frequency near or far fields taken at sparse sensors. Based on the uniqueness analysis, some direct methods have also been proposed for reconstructing the locations and determining the scattering strengths. The numerical examples are conducted to show the validity and robustness of the proposed numerical methods.
